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badreferences

  • 2 years ago

Why is a projective representation of hyberbolic geometry convex towards the sphere's center?

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  1. NicoleDD
    • 2 years ago
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    I would help you but IDK

  2. mukushla
    • 2 years ago
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    lol...i dont know

  3. Lethal
    • 2 years ago
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    dude is this a legitimate concept? i doubt it.

  4. badreferences
    • 2 years ago
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    Yes. With hyperbolic geometries you want to project hemispheres to 2D for measurement, etc. Generally in physics you learn Minkowski space ( http://en.wikipedia.org/wiki/Minkowski_space ) but there are also conformal and hemispherical projections. Conformal is a plane orthogonal to the plane bisecting the sphere into northern and southern hemispheres. Hemispheric is a stereographic projection from the southern pole. A 3D "Euclidian" model of the sphere "squashing" the hyperbolic geometries has the hemispheric projection act as a convex "plate" directed towards the center of the sphere. My question is why.

  5. Lethal
    • 2 years ago
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    well why didn't you ask this in physics?

  6. badreferences
    • 2 years ago
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    Because this isn't physics, it's math.

  7. badreferences
    • 2 years ago
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    Oh, whatever.

  8. Lethal
    • 2 years ago
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    lol what math do they teach this in?

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